45118625280 has 320 divisors, whose sum is σ = 152615232000. Its totient is φ = 11347623936.

The previous prime is 45118625269. The next prime is 45118625323. The reversal of 45118625280 is 8252681154.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12892971 + ... + 12896469.

It is an arithmetic number, because the mean of its divisors is an integer number (476922600).

Almost surely, 2^45118625280 is an apocalyptic number.

45118625280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45118625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76307616000).

45118625280 is an abundant number, since it is smaller than the sum of its proper divisors (107496606720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45118625280 is a wasteful number, since it uses less digits than its factorization.

45118625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 45118625280 in words is "forty-five billion, one hundred eighteen million, six hundred twenty-five thousand, two hundred eighty".